$$(1- \sqrt{ 2 } )+ \frac{ 1 }{ (1- \sqrt{ 2 } ) }$$
$-2\sqrt{2}\approx -2.828427125$
$$1-\sqrt{2}+\frac{1+\sqrt{2}}{\left(1-\sqrt{2}\right)\left(1+\sqrt{2}\right)}$$
$$1-\sqrt{2}+\frac{1+\sqrt{2}}{1^{2}-\left(\sqrt{2}\right)^{2}}$$
$$1-\sqrt{2}+\frac{1+\sqrt{2}}{1-2}$$
$$1-\sqrt{2}+\frac{1+\sqrt{2}}{-1}$$
$$1-\sqrt{2}-1-\sqrt{2}$$
$$-\sqrt{2}-\sqrt{2}$$
$$-2\sqrt{2}$$
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